Derivatives of common functions

dxdc=0 $\frac{d}{d x} c = 0$
dxdxn=nxn−1 $\frac{d}{d x} x^{n} = n x^{n - 1}$
dxdsinx=cosx $\frac{d}{d x} sin x = cos x$
dxdcosx=−sinx $\frac{d}{d x} cos x = - sin x$
dxdtanx=sec2x $\frac{d}{d x} tan x = {sec}^{2} x$
dxdex=ex $\frac{d}{d x} e^{x} = e^{x}$
dxdax=axlna $\frac{d}{d x} a^{x} = a^{x} ln a$
dxdlnx=x1 $\frac{d}{d x} ln x = \frac{1}{x}$
dxdlogax=xlna1 $\frac{d}{d x} {log}_{a} x = \frac{1}{x ln a}$

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